513217632313 has 16 divisors (see below), whose sum is σ = 547765161984. Its totient is φ = 479155461120.

The previous prime is 513217632299. The next prime is 513217632341. The reversal of 513217632313 is 313236712315.

It is not a de Polignac number, because 513217632313 - 2¹³ = 513217624121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513217632413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20543356 + ... + 20568322.

It is an arithmetic number, because the mean of its divisors is an integer number (34235322624).

Almost surely, 2^513217632313 is an apocalyptic number.

It is an amenable number.

513217632313 is a deficient number, since it is larger than the sum of its proper divisors (34547529671).

513217632313 is a wasteful number, since it uses less digits than its factorization.

513217632313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34632.

The product of its digits is 68040, while the sum is 37.

The spelling of 513217632313 in words is "five hundred thirteen billion, two hundred seventeen million, six hundred thirty-two thousand, three hundred thirteen".